Daniel Wachsmuth

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math.OC2025

Spatially sparse optimization problems in fractional order Sobolev spaces

Anna Lentz, Daniel Wachsmuth

We investigate time-dependent optimization problems in fractional Sobolev spaces with the sparsity promoting $L^{p}$ -pseudo norm for $0 < p < 1$ in the objective functional. In order to…

math.OC2024

The Largest- $K$ -Norm for General Measure Spaces and a DC Reformulation for $L^{0}$ -Constrained Problems in Function Spaces

Bastian Dittrich, Daniel Wachsmuth

We consider constraints on the measure of the support for integrable functions on arbitrary measure spaces. It is shown that this non-convex and discontinuous constraint can be equ…

Spatially sparse optimization problems in fractional order Sobolev spaces

The Largest-K-Norm for General Measure Spaces and a DC Reformulation for L0-Constrained Problems in Function Spaces

The Largest- $K$ -Norm for General Measure Spaces and a DC Reformulation for $L^{0}$ -Constrained Problems in Function Spaces